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  • 1
    Electronic Resource
    Electronic Resource
    Screening in very thin films (1972)
    Springer
    The European physical journal 15 (1972), S. 191-200 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Screening in very thin ideal metallic films is studied within the framework of the random phase approximation. In the limit of vanishing film thickness, screening is drastically reduced, from an exponential form $$\frac{{e^{ - q_0 r} }}{r}$$ a power form (r −3). Friedel oscillations are damped byr −2 rather thanr −3. With the help of the screened potential, effective mass, specific heat, collision times and paramagnetic susceptibility of the electron gas are estimated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02422678
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  • 2
    Electronic Resource
    Electronic Resource
    On singularities in the disordered phase of a driven diffusive system (1995)
    Springer
    The European physical journal 97 (1995), S. 327-332 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using renormalization group techniques, we investigate the large distance behavior of a driven, interacting lattice gas in the disordered phase. Unlike the equilibrium Ising model, its behavior, ford〉2, is controlled by aline of fixed points, each of which is interpreted as a dynamical system violating the fluctuation-dissipation theorem (FDT). As a consequence, correlation functions at large distances typically decay according to a power law instead of an exponential. Ford≤2, the renormalization group flows towards an FDT-satisfying fixed point, which corresponds to the high-temperature, strong-drive limit. In the steady state of such a model (a driven, “free” lattice gas), correlations are known to be exactly zero. Nevertheless, our correlations are still dominated by power laws, since the FDT-breaking operators aredangerously irrelevant (marginal ind=2). Thus, for anyd, the long wavelength properties cannot be obtained by taking either the non-interacting or theT→∞ limit, unlike for the equilibrium Ising model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01307483
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  • 3
    Electronic Resource
    Electronic Resource
    The variety of singularities in models of first order phase transitions (1981)
    Springer
    The European physical journal 41 (1981), S. 129-138 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Although there is a variety of singularities which arise from the many models of a first order phase transition, all are usually referred to as an “essential singularity”. We propose a set of terms suitable for distinguishing them. A better method of extracting and identifying these singularities in variants of the droplet model is presented. We comment on both the renormalization group approach and field theoretic calculations of this singularity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01293411
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  • 4
    Electronic Resource
    Electronic Resource
    Periodic one-dimensional hopping model with one mobile directional impurity (1997)
    Springer
    Journal of statistical physics 87 (1997), S. 545-575 
    Details
    ISSN: 1572-9613
    Keywords: Random hopping model ; bond impurity ; diffusion ; asymmetric exclusion process ; electrophoresis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Analytic solution is given in the steady-state limitt→∞ for the system of master equations describing a random walk on one-dimensional periodic lattices with arbitrary hopping rates containing one mobile directional impurity (defect bond). Due to the defect, translational invariance is broken, even if all other rates are identical. The structure of master equations leads naturally to the introduction of a new entity, associated with the walker-impurity pair which we call the quasiwalker. The velocities and diffusion constants for both the random walker and impurity are given, being simply related to that of the quasiparticle through physically meaningful equations. Applications in driven diffusive systems are shown, and connections with the Duke-Rubinstein reptation models for gel electrophoresis are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02181236
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  • 5
    Electronic Resource
    Electronic Resource
    Phase Transitions in a Driven Lattice Gas with Anisotropic Interactions (1999)
    Springer
    Journal of statistical physics 95 (1999), S. 981-996 
    Details
    ISSN: 1572-9613
    Keywords: nonequilibrium ; driven diffusive systems ; lattice gas ; kinetic Ising model ; anisotropy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Ising lattice gas, with its well known equilibrium properties, displays a number of surprising phenomena when driven into nonequilibrium steady states. We study such a model with anisotropic interparticle interactions (J ||≠J ⊥), using both Monte Carlo simulations and high temperature series techniques. Under saturation drive, the shift in the transition temperature can be both positive and negative, depending on the ratio J ||/J ⊥! For finite drives, both first- and second-order transitions are observed. Some aspects of the phase diagram can be predicted by investigating the two-point correlation function at the first nontrivial order of a high-temperature series expansion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004554517737
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  • 6
    Electronic Resource
    Electronic Resource
    Effects of bulk diffusion on interfacial dynamics (1991)
    Springer
    The European physical journal 82 (1991), S. 121-127 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the influence of bulk diffusion on the dynamics of an interface in the two-phase region of two component systems. We establish a set of equations of motion describing capillary waves and their coupling to a slow diffusion mode in the bulk. Valid for the general case of density dependent bulk diffusion coefficients, these equations are both non-local and non-linear. The nonlinearity is a realization of the full Galilean symmetry associated with the system. Studying the dispersion relations for the linear regime, we find a significant difference between systems with Ising symmetry and those without.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01313994
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  • 7
    Electronic Resource
    Electronic Resource
    Driven nonequilibrium lattice systems with shifted periodic boundary conditions (1989)
    Springer
    Journal of statistical physics 56 (1989), S. 43-58 
    Details
    ISSN: 1572-9613
    Keywords: Nonequilibrium steady state system ; interfaces ; phase ; transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present the first study of a driven nonequilibrium lattice system in the two-phase region, withshifted periodic boundary conditions, forcing steps into the interface. When the shift corresponds to small angles with respect to the driving field, we find nonanalytic behavior in the (internal) energy of the system, supporting numerical evidence that interface roughness is suppressed by the field. For larger shifts, the competition between the driving field and the boundary induces the breakup of a single strip with tilted interfaces into many narrower strips with aligned interfaces. The size and temperature dependences of the critical angles of such breakup transitions are studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01044230
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  • 8
    Electronic Resource
    Electronic Resource
    The summertop construction: Crystals in a corner (1988)
    Springer
    Journal of statistical physics 50 (1988), S. 727-736 
    Details
    ISSN: 1572-9613
    Keywords: Equilibrium crystal shapes ; surface energy/tension
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Equilibrium shapes of crystals in contact with more than one substrate, e.g., droplets at a corner or the edge of two planes, are described. This generalizes a construction due to Wulff and Winterbottom and, unlike them, allows non-convex equilibrium shapes. Since this construction may require a central inversion of the Wulff plot, it is dubbed “the summertop construction.”
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01026498
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  • 9
    Electronic Resource
    Electronic Resource
    A lattice-gas hamiltonian for micellar binary solutions (1988)
    Springer
    Journal of statistical physics 50 (1988), S. 839-848 
    Details
    ISSN: 1572-9613
    Keywords: Surfactants ; micellar systems ; binary solutions ; Ising models ; lattice gas ; phase transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An explicit Ising-spin lattice Hamiltonian is proposed as a model for studying the phase diagrams of micellar binary solutions on the micellar length scale. Incorporating many essential features, it can be used to check the validity of a previously suggested scenario for nonuniversality at the consolute point.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01026502
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  • 10
    Electronic Resource
    Electronic Resource
    A maximum entropy mean field method for driven diffusive systems (1993)
    Springer
    Journal of statistical physics 70 (1993), S. 737-771 
    Details
    ISSN: 1572-9613
    Keywords: Kinetic lattice models ; nonequilibrium steady state ; maximum entropy principle ; mean field methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We introduce a method of generating systematic mean field (MF) approximations for the nonequilibrium steady state of ferromagnetic Ising driven diffusive systems (DDS), based on the maximum entropy principle due to Jaynes. In the phase coexistence region, MF approximations to the master equation do not provide a closed system of equations in the MF variables. This can be traced to the conservation of the order parameter by the stochastic dynamics. Our maximum entropy mean field (MEMF) approximation method is applicable to high temperatures as well to the low-temperature phase coexistence region. It is based on a derivation of a generalized variational free energy from the maximum entropy principle, with the MF evolution equations playing the role of constraints. In the phase coexistence region this free energy is nonconvex and is interpreted by means of a Maxwell construction. We use a pair-level variant of the MEMF approximation to calculate quantities of interest for the ferro-magnetic Ising DDS on a square lattice. Results of calculations with several different choices of transition rates satisfying local detailed balance are discussed and compared with those obtained by other methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01053593
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